CHIINV Function

Excel Functions › Compatibility

All versions (legacy) Compatibility

The Excel CHIINV function returns the inverse of the right-tailed chi-squared distribution — the x value for a given right-tail probability. It is the legacy name of CHISQ.INV.RT, introduced in Excel 2010.


Quick answer:
=CHIINV(0.05,5) critical value ≈ 11.07

Syntax

=CHIINV(probability, deg_freedom)
ArgumentDescription
probabilityRequiredA right-tail probability associated with the chi-squared distribution (between 0 and 1).
deg_freedomRequiredThe number of degrees of freedom (a positive integer).

How to use it

CHIINV is the reverse of CHIDIST: give it a right-tail probability and it returns the chi-squared value (the critical value) that leaves that much area in the right tail.

=CHIINV(0.05,5) // critical value ≈ 11.07
=CHIINV(0.05,1) // ≈ 3.841

This is the function that produces the critical values printed in chi-squared tables. Because it works with the right tail, the modern replacement is CHISQ.INV.RT — not the left-tailed CHISQ.INV.

Use CHISQ.INV.RT instead: =CHISQ.INV.RT(0.05,5) in Excel 2010+ returns the same critical value. Watch the naming: CHISQ.INV (no .RT) inverts the left tail.

Try it: interactive demo

Live demo

Pick a CHIINV example to see the formula and its result.

Result:

Practice workbook

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Frequently asked questions

What is the modern replacement for CHIINV?
CHISQ.INV.RT, added in Excel 2010 — the inverse of the right-tailed chi-squared distribution. =CHISQ.INV.RT(0.05,5) equals =CHIINV(0.05,5).
What does CHIINV calculate?
The chi-squared critical value for a given right-tail probability and degrees of freedom — the value beyond which that proportion of the distribution lies.
Is CHIINV the inverse of CHIDIST?
Yes. CHIDIST maps an x value to a right-tail probability; CHIINV maps a right-tail probability back to x, for the same degrees of freedom.
Why use the right-tailed version?
Chi-squared hypothesis tests reject in the right tail, so the critical value comes from the right tail. Use CHISQ.INV.RT in modern workbooks; CHISQ.INV would give the left-tail value.

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Related functions: CHISQ.INV.RT · CHIDIST · CHITEST · FINV · BETAINV